3 citations · 5 across the 5 of their papers we have counts for
5 papers
A pressure-stabilized projection Lagrange--Galerkin scheme for the transient Oseen problem
Shinya Uchiumi
We propose and analyze a pressure-stabilized projection Lagrange--Galerkin scheme for the transient Oseen problem. The proposed scheme inherits the following advantages from the pr…
A viscosity-independent error estimate of a pressure-stabilized Lagrange-Galerkin scheme for the Oseen problem
Shinya Uchiumi
We consider a pressure-stabilized Lagrange-Galerkin scheme for the transient Oseen problem with small viscosity. In the scheme we use the equal-order approximation of order for…
Numerical computation of triangular cavity flows by a Lagrange-Galerkin scheme with a locally linearized velocity
Masahisa Tabata, Shinya Uchiumi
We show numerical results of triangular cavity flow problems solved by a Lagrange-Galerkin scheme free from numerical quadrature. The scheme has recently developed by us, where a l…
A Lagrange-Galerkin scheme with a locally linearized velocity for the Navier--Stokes equations
Masahisa Tabata, Shinya Uchiumi
We present a Lagrange--Galerkin scheme free from numerical quadrature for the Navier--Stokes equations. Our idea is to use a locally linearized velocity and the backward Euler meth…
A genuinely stable Lagrange-Galerkin scheme for convection-diffusion problems
Masahisa Tabata, Shinya Uchiumi
We present a Lagrange-Galerkin scheme free from numerical quadrature for convection-diffusion problems. Since the scheme can be implemented exactly as it is, theoretical stability…